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64153120032 = 2532435180323
BaseRepresentation
bin111011101111110100…
…101110110100100000
320010120221102011101200
4323233310232310200
52022341144320112
645245504001200
74430526344241
oct735764566440
9203527364350
1064153120032
1125230844671
1210524900200
136085000971
1431682a4cc8
151a07171cdc
hexeefd2ed20

64153120032 has 72 divisors (see below), whose sum is σ = 186678155664. Its totient is φ = 20887058304.

The previous prime is 64153120027. The next prime is 64153120039. The reversal of 64153120032 is 23002135146.

64153120032 is a `hidden beast` number, since 641 + 5 + 3 + 12 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 64153119978 and 64153120005.

It is not an unprimeable number, because it can be changed into a prime (64153120039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2577778 + ... + 2602545.

It is an arithmetic number, because the mean of its divisors is an integer number (2592752162).

Almost surely, 264153120032 is an apocalyptic number.

It is an amenable number.

64153120032 is an abundant number, since it is smaller than the sum of its proper divisors (122525035632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64153120032 is a wasteful number, since it uses less digits than its factorization.

64153120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180382 (or 5180371 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 64153120032 its reverse (23002135146), we get a palindrome (87155255178).

The spelling of 64153120032 in words is "sixty-four billion, one hundred fifty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 5180323 10360646 15540969 20721292 31081938 41442584 46622907 62163876 82885168 93245814 124327752 165770336 186491628 222753889 248655504 372983256 445507778 497311008 668261667 745966512 891015556 1336523334 1491933024 1782031112 2004785001 2673046668 3564062224 4009570002 5346093336 7128124448 8019140004 10692186672 16038280008 21384373344 32076560016 64153120032